TABLE 6-7
A company has 125 personal computers. The probability that any one of them will require repair on a given day is 0.15.
-Referring to Table 6-7, which of the following is one of the properties required so that the binomial distribution can be used to compute the probability that no more than 2 computers will require repair on a given day?
A) The number of computers that will require repair in the morning is independent of the number of computers that will require repair in the afternoon.
B) The probability that a computer that will require repair in the morning is the same as that in the afternoon.
C) The probability that any one of the computers that will require repair on a given day will not affect or change the probability that any other computers that will require repair on the same day.
D) The probability that two or more computers that will require repair in a given day approaches zero.

Question

Quizplus · Accepted Answer

The property required for the binomial distribution to be used is independence. This means that the outcome of one trial does not affect the outcome of another trial. Option A is true, but it only talks about the morning and afternoon, not the independence of the trials. Option B is not necessary for independence. Option D talks about the probability approaching zero but does not discuss independence. Option C is the correct choice as it explicitly states that the probability of one computer requiring repair does not affect the probability of another computer requiring repair, indicating independence.

TABLE 6-7 A Company Has 125 Personal Computers. the Probability That Any